Question

3. (5 pts) For each of the listed functions, determine a formula for the derivative function. For the first two, determine the formula for the derivative by thinking about the nature of the given function and its slope at various points; do not use the limit definition. For the latter three, use the limit definition, Pay careful attention to the function names and independent variables. It is important to be comfortable with using letters other than f and r. For example, given a function p(?), we call its derivative p'(x). (a) f(x) = -2 (b) o(k) - 2 (c) h(t) = (d) p(x) - (e) cr) +

Answer 1

@ P62)=2 o This is constant of undion. off ya RC39) then 72-2, paralle) to x-axis slope of food is'o at any point de parte af-2)=0 T72030 The derivative of constant fronction is o © 90)= 2K This is polynomial feenction com linear equation of degree Let 7= 9(14) thien 7 = 24 which in form famso slope of fonction is m=2 - 12) = 2CD = 2 19 (A)=2

© het) = 2 hct)= lim hc2+p)- HCA), p0P - Im Eph-i-7 ps0 P oder ein = {4-)=(24R-727 im t tors-P_) pop (CZtP-D(2-1) / =lim trap ) hot (2+2=D(2-)) - Eto-1) (2-1) Tnews=2 ♡ Pizl=29 picz)= m P(Zip) – P12)

- - က ( ၃ - က (244 + + ez၈) # - ၈၈ *+*+4 ++ P> +4ဉ်က ခရF = က FC + +++ ၉ ='++++၃); | = o+o+o+o++ plez)=429 sca) = 3 ငါ(၅) = { Co) - Cam) = ကြ လ+က+ COL) -( ၁ ) - ကာ နနင်+ + Sai +6++, = "ဒ်+3S P+) co)= 3- = C + ++)